Pr(A n B) = 0.1 Pr(A) = 0.2 Pr(B') = 0.5 Hence, fill in the intersection table: A A' В B'

Q: S Ve™ dæ =|| %3D + C

A: Given that, the integral is ∫ex5dx. ∫ex5dx=∫ex15dx=∫ex·15dx=∫ex5dx Let u=x5 then, dudx=15du5=dx

Q: (a)

A: Given,           jj

Q: Determine the value of the constant "a" if it is known that | (4x + 1) dæ = 10 with a#0 a) 을 b) - c)…

A:

Q: Iny y10 (b) S S dy

A: The given integral is:∫ln yy10 dy

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A: Given :            ∫01∫0ln(2)xyexy2 dx dy

Q: Evaluate the following: 1) ² (y² + y)dxdy

A:

Q: 3. Find y': y = 5sin3x

A: The given function is, y=5sin3x We need to find the derivative of the given function. The derivative…

Q: 43 dy dr

A:

Q: Given, P(A or B) = 0.80, P(B') = 0.33 and P(A and B) = 0.20 Find P(A' and B)?

A: Solution-: P(A or B)=0.80, P(B')=0.33 and P(A and B)=0.20 We wan to find P(A' and B)=?

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: Find dx2 d²y if x = 3cos4t and y = 6sin4t. %D

A: Eliminate the variable t and form a equation in x and y only than take two times derivative.

Q: f fo=2x and g)= x-4. what is the value of rCg(3))?

A: f(x)=2x and g(x)=x-4

Q: ole

A: We have to solve given differential equation:

Q: USC Tolx)=1 and Ticx) = X to find %3D Te (X)and T3(X)

A: Given that, T0x=1 and T1x=x. It is known that, x2=12T0+T2 and x3=143T1+T3. Obtain the value of T2x.…

Q: d. Evaluate dr ((5x² + 10)e) at r = 2.

A: We will differentiate the given expression using the product rule and then put X equal to 2

Q: dy 3) Determine the of : In (ху?) %3D х у dx

A:

Q: 1 Evaluate : dx. (1+x)Vx -x X-X

A:

Q: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

A:

Q: dy 1 if y = dz 219

A: Given that: y=12x+9

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: If u = a − j20 and v = 6+ jb, calculate the value of Im (1).

A:

Q: What is the value of (V-1)' ? A. e- BỊ e C. e D. e

A:

Q: dy Use the RK2 method to evaluate y(1.05) given that = 3et + 2y and y(0.90)=22.3054. Enter your…

A: Ruge-kutta method of order 2.

Q: O ex+e-x

A:

Q: 10 dS (3t2-12t-15)dt %3D

A:

Q: 3 dx%3D 2 (x-1)(x+2) Select one: a. In(5/2) b. -9/20 c. In(8/5) d. -33/20 e. In(2/3) 3.

A:

Q: dx find . diven that x>0, using the substitution u =

A:

Q: Integrate the following: dx 1. a) V9x² +12x-5

A: Solution:-

Q: (b) Ji 교2(중교" + 1)dr (c) (ax² + bx + c)dx (d) L.(; + ap(뿌

A: Use the formulas below to evaluate the integrals. ∫xndx=xn+1n+1 +C∫dxx=ln x +C   The logarithmic…

Q: 2 19-x

A: Note: Since you have asked multiple question, we will solve the first question for you.  If you want…

Q: Evaluate dx

A:

Q: Evaluate: xe² dx Ső 0e-2 0e² 1 - 0/(e-1) 22

A: Evaluate the integral